Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method

This paper obtains solutions as well as other solutions to the 3D- Gross–Pitaevskii equation, which is called the non-linear Schrodinger equation under the conditions of Kudryashov method that appear in various areas of mathematical physics. This equation describes Bose–Einstein condensates in the low temperature regime. These new exact solutions will complement previous results and help further to understand the physical structures.